Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
71148bn |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-4261775729904 = -1 · 24 · 35 · 77 · 113 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11+ -5 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3414,64161] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:99:1] [30:-441:1] |
Generators of the group modulo torsion |
j |
1755904/1701 |
j-invariant |
L |
11.619989190233 |
L(r)(E,1)/r! |
Ω |
0.51130520562171 |
Real period |
R |
0.18938442673273 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999801 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10164h1 71148bm1 |
Quadratic twists by: -7 -11 |